Finding the Third Proportional to 11,571 and 17,410.50

Step by Step Solution

1. Step 1: Write the proportion equation
   11,571 : 17,410.50 = 17,410.50 : x
2. Step 2: Convert to fraction form
   11,571/17,410.50 = 17,410.50/x
3. Step 3: Cross multiply
   11,571x = 17,410.50 × 17,410.50
4. Step 4: Simplify right side
   11,571x = 303,125,510.25
5. Step 5: Solve for x
   x = 303,125,510.25/11,571
6. Step 6: Final answer
   x = 26,197.00